Question 1143917

Jim buys {{{10}}} oranges and {{{15}}} mangoes.
 Mangoes are {{{20}}} cent cheaper than oranges.

if the price of oranges is {{{x}}} cents, than the price of mangoes is {{{x-20}}} cents

 If the total costs ${{{9.25}}}, it is equal to {{{925}}} cents.

so, {{{10x+15(x-20)=925}}}.....solve for {{{x}}}

{{{10x+15x-300=925}}}

{{{25x=925+300}}}

{{{25x=1225}}}

{{{x=1225/25}}}

{{{x=49}}}

=> the price of oranges is {{{49}}} cents

=> the price of mangoes is {{{29}}} cents


check:

first convert cents to dollars:

{{{49}}} cents is {{{0.49}}} dollars
{{{29}}} cents is {{{0.29}}} dollars

{{{10}}} oranges cost {{{10*0.49=4.9}}} dollars

and {{{15}}} mangoes cost {{{15*0.29=4.35}}} dollars

all together cost {{{ 4.9+4.35=9.25}}} dollars -which confirms our result